Publications: Glen, Amy

Journal Article

Glen, A., Halldórsson, B. and Kitaev, S. (2010) Crucial abelian k-power-free words. Discrete Mathematics & Theoretical Computer Science, 12 (5). pp. 83-96.

Allouche, J-P. and Glen, A. (2010) Extremal properties of (epi)Sturmian sequences and distribution modulo 1. L’Enseignement Mathématique, 56 . pp. 365-401.

Avgustinovich, S., Glen, A., Halldórsson, B.V. and Kitaev, S. (2010) On shortest crucial words avoiding abelian powers. Discrete Applied Mathematics, 158 (6). pp. 605-607.

Glen, A., Levé, F. and Richomme, G. (2009) Directive words of episturmian words: equivalences and normalization. RAIRO - Theoretical Informatics and Applications, 43 (2). pp. 299-319.

Allouche, J-P. and Glen, A. (2009) Distribution modulo 1 and the lexicographic world. Annales des sciences mathématiques du Québec, 33 (2). pp. 125-143.

Glen, A. and Justin, J. (2009) Episturmian words: a survey. RAIRO - Theoretical Informatics and Applications, 43 (3). pp. 403-442.

Glen, A., Justin, J., Widmer, S and Zamboni, L (2009) Palindromic richness. European Journal of Combinatorics, 30 (2). pp. 510-531.

Bucci, M., Deluca, A., Glen, A. and Zamboni, L. (2009) A connection between palindromic and factor complexity using return words. Advances in Applied Mathematics, 42 (1). pp. 60-74.

Bucci, M., De Luca, A., Glen, A. and Zamboni, L.Q. (2009) A new characteristic property of rich words. Theoretical Computer Science, 410 (30-32). pp. 2860-2863.

Glen, A., Justin, J. and Pirillo, G. (2008) Characterizations of finite and infinite episturmian words via lexicographic orderings. European Journal of Combinatorics, 29 (1). pp. 45-58.

Glen, A., Levé, F. and Richomme, G. (2008) Quasiperiodic and Lyndon episturmian words. Theoretical Computer Science, 409 (3). pp. 578-600.

De Luca, A., Glen, A. and Zamboni, L. (2008) Rich, Sturmian, and trapezoidal words. Theoretical Computer Science, 407 (1-3). pp. 569-573.

Glen, A. (2008) A characterization of fine words over a finite alphabet. Theoretical Computer Science, 391 (1-2). pp. 51-60.

Glen, A., Lauve, A. and Saliola, F.V. (2008) A note on the Markoff condition and central words. Information Processing Letters, 105 (6). pp. 241-244.

Blondin-Massé, A., Brlek, S., Glen, A. and Labbé, S. (2007) On the critical exponent of generalized Thue-Morse sequences. Discrete Mathematics & Theoretical Computer Science, 9 (1). pp. 293-304.

Glen, A. (2007) Powers in a class of A-strict standard episturmian words. Theoretical Computer Science, 380 (3). pp. 330-354.

Glen, A. (2006) Occurrences of palindromes in characteristic Sturmian words. Theoretical Computer Science, 352 (1-3). pp. 31-46.

Glen, A. (2006) On Sturmian and episturmian words, and related topics. Bulletin of the Australian Mathematical Society, 74 (01). pp. 155-160.

Glen, A. (2004) Conjugates of characteristic Sturmian words generated by morphisms. European Journal of Combinatorics, 25 (7). pp. 1025-1037.

Glen, A. and Scott, P. (2004) Euler and his contribution to Number Theory. The Australian Mathematics Teacher, 60 (10). pp. 2-5.

Conference Paper

Glen, A., Halldórsson, B.V. and Kitaev, S. (2009) Crucial words for abelian powers. In: Proceedings of the 13th International Conference on Developments in Language Theory, 30 June - 3 July, Stuttgart, Germany, pp. 264-275.

Glen, A., Levé, F. and Richomme, G. (2008) Directive words of episturmian words. In: 12th Mons Theoretical Computer Science Days (Journées Montoises d'Informatique Théorique), 27 - 30 August, Mons, Belgium.

Bucci, M., De Luca, A., Glen, A. and Zamboni, L. (2008) A new characteristic property of rich words. In: 12th Mons Theoretical Computer Science Days (Journées Montoises d'Informatique Théorique), 27 - 30 August, Mons, Belgium.

Glen, A. (2007) Order and quasiperiodicity in episturmian words. In: Sixth International Conference on Words, 17 - 21 September, Marseille, France.

Glen, A. (2005) Powers in a class of A-strict standard episturmian words. In: 5th International Conference on Words, 13 - 17 September, Quebec, Canada.

Conference Item

Glen, A. (2010) Finite & infinite words in Number Theory. In: School of Mathematical Sciences Colloquium, 12 February, The University of Adelaide.

Glen, A. (2009) Combinatorics on words and some applications to problems in number theory. In: Centre for the Mathematics of Symmetry and Computation, Groups and Combinatorics Seminar, 17 November.

Glen, A. (2006) A characterization of fine words over a finite alphabet. In: International school and conference on Combinatorics, Automata and Number Theory, 8 - 9 May, Liege, Belgium.

Others

Glen, A. (2003) Automatic sequences: theory, applications, generalizations. The Gazette of the Australian Mathematical Society, 30 . p. 264.